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Finding the Third Proportional to 75,358 and 116,501

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Solution

The third proportional to 75,358 and 116,501 is: 180,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,358 : 116,501 = 116,501 : x
  2. Step 2: Convert to fraction form
    75,358/116,501 = 116,501/x
  3. Step 3: Cross multiply
    75,358x = 116,501 × 116,501
  4. Step 4: Simplify right side
    75,358x = 13,572,483,001
  5. Step 5: Solve for x
    x = 13,572,483,001/75,358
  6. Step 6: Final answer
    x = 180,106.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.